"Olsenness (abbreviated to Olsen) " sounds like an American clerk trying to write down a Norwegian name that is being spoken - such as Olaf Olsen Ness. At the outset eibache posted a candidate whose mother was born at Næss (per marriage record) and see also 1875 census. 1875
I went looking for any other children by Ole Olsen and Oline Kristiansdatter and came up with this one. Einar Johan Sverre born Sept 14, 1883. Interesting to have a son named Einar.
It is difficult to find any connection to anything named Krog with this family.
The parishes or sub-parishes that the ancestors of this family inhabited were in mostly in Vega (Vægø) and Brønøe (Brønnøy) with various spellings of each. The only parish that has any farm with Krog in it is Brønnøy with the farm named Krogeness. However I have not found any family member that connects with that farm.
The main residents of this farm are the Walseth or Valseth family